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Group decision-making based on heterogeneous preference relations with self-confidence

Author

Listed:
  • Wenqi Liu

    (Sichuan University)

  • Yucheng Dong

    (Sichuan University)

  • Francisco Chiclana

    (De Montfort University)

  • Francisco Javier Cabrerizo

    (University of Granada)

  • Enrique Herrera-Viedma

    (University of Granada)

Abstract

Preference relations are very useful to express decision makers’ preferences over alternatives in the process of group decision-making. However, the multiple self-confidence levels are not considered in existing preference relations. In this study, we define the preference relation with self-confidence by taking multiple self-confidence levels into consideration, and we call it the preference relation with self-confidence. Furthermore, we present a two-stage linear programming model for estimating the collective preference vector for the group decision-making based on heterogeneous preference relations with self-confidence. Finally, numerical examples are used to illustrate the two-stage linear programming model, and a comparative analysis is carried out to show how self-confidence levels influence on the group decision-making results.

Suggested Citation

  • Wenqi Liu & Yucheng Dong & Francisco Chiclana & Francisco Javier Cabrerizo & Enrique Herrera-Viedma, 2017. "Group decision-making based on heterogeneous preference relations with self-confidence," Fuzzy Optimization and Decision Making, Springer, vol. 16(4), pages 429-447, December.
  • Handle: RePEc:spr:fuzodm:v:16:y:2017:i:4:d:10.1007_s10700-016-9254-8
    DOI: 10.1007/s10700-016-9254-8
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    References listed on IDEAS

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    2. Yucheng Dong & Cong-Cong Li & Yinfeng Xu & Xin Gu, 2015. "Consensus-Based Group Decision Making Under Multi-granular Unbalanced 2-Tuple Linguistic Preference Relations," Group Decision and Negotiation, Springer, vol. 24(2), pages 217-242, March.
    3. Herrera-Viedma, E. & Herrera, F. & Chiclana, F. & Luque, M., 2004. "Some issues on consistency of fuzzy preference relations," European Journal of Operational Research, Elsevier, vol. 154(1), pages 98-109, April.
    4. Xiqin Wen & Mingchao Yan & Jieyu Xian & Rui Yue & Anhua Peng, 2016. "Supplier selection in supplier chain management using Choquet integral-based linguistic operators under fuzzy heterogeneous environment," Fuzzy Optimization and Decision Making, Springer, vol. 15(3), pages 307-330, September.
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    Cited by:

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    2. Xia Liu & Yejun Xu & Yao Ge & Weike Zhang & Francisco Herrera, 2019. "A Group Decision Making Approach Considering Self-Confidence Behaviors and Its Application in Environmental Pollution Emergency Management," IJERPH, MDPI, vol. 16(3), pages 1-15, January.
    3. Yan Pan & Yanzhe Li & Shouzhen Zeng & Junfang Hu & Kifayat Ullah, 2022. "Green Recycling Supplier Selection of Shared Bicycles: Interval-Valued Pythagorean Fuzzy Hybrid Weighted Methods Based on Self-Confidence Level," IJERPH, MDPI, vol. 19(9), pages 1-21, April.
    4. Oliva, Gabriele & Scala, Antonio & Setola, Roberto & Dell’Olmo, Paolo, 2019. "Opinion-based optimal group formation," Omega, Elsevier, vol. 89(C), pages 164-176.
    5. Zhang, Hengjie & Dong, Yucheng & Xiao, Jing & Chiclana, Francisco & Herrera-Viedma, Enrique, 2021. "Consensus and opinion evolution-based failure mode and effect analysis approach for reliability management in social network and uncertainty contexts," Reliability Engineering and System Safety, Elsevier, vol. 208(C).
    6. Wenqi Liu & Hengjie Zhang & Haiming Liang & Cong-cong Li & Yucheng Dong, 2022. "Managing Consistency and Consensus Issues in Group Decision-Making with Self-Confident Additive Preference Relations and Without Feedback: A Nonlinear Optimization Method," Group Decision and Negotiation, Springer, vol. 31(1), pages 213-240, February.
    7. Jie Tang & Fanyong Meng & Francisco Javier Cabrerizo & Enrique Herrera-Viedma, 2020. "Group Decision Making with Interval-Valued Intuitionistic Multiplicative Linguistic Preference Relations," Group Decision and Negotiation, Springer, vol. 29(1), pages 169-206, February.
    8. Bice Cavallo, 2019. "$$\mathcal {G}$$ G -distance and $$\mathcal {G}$$ G -decomposition for improving $$\mathcal {G}$$ G -consistency of a Pairwise Comparison Matrix," Fuzzy Optimization and Decision Making, Springer, vol. 18(1), pages 57-83, March.
    9. Jie Tang & Fanyong Meng & Francisco Javier Cabrerizo & Enrique Herrera-Viedma, 2019. "A procedure for group decision making with interval-valued intuitionistic linguistic fuzzy preference relations," Fuzzy Optimization and Decision Making, Springer, vol. 18(4), pages 493-527, December.
    10. Dong, Yucheng & Liu, Yating & Liang, Haiming & Chiclana, Francisco & Herrera-Viedma, Enrique, 2018. "Strategic weight manipulation in multiple attribute decision making," Omega, Elsevier, vol. 75(C), pages 154-164.
    11. Xunjie Gou & Zeshui Xu & Xinxin Wang & Huchang Liao, 2021. "Managing consensus reaching process with self-confident double hierarchy linguistic preference relations in group decision making," Fuzzy Optimization and Decision Making, Springer, vol. 20(1), pages 51-79, March.
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